Linear Algebraic Groups and Finite Groups of Lie Type /
Malle, Gunter,
Linear Algebraic Groups and Finite Groups of Lie Type / Linear Algebraic Groups & Finite Groups of Lie Type Gunter Malle, Donna Testerman. - 1 online resource (324 pages) : digital, PDF file(s). - Cambridge Studies in Advanced Mathematics ; 133 . - Cambridge Studies in Advanced Mathematics ; 133. .
Title from publisher's bibliographic system (viewed on 04 Apr 2016).
Originating from a summer school taught by the authors, this concise treatment includes many of the main results in the area. An introductory chapter describes the fundamental results on linear algebraic groups, culminating in the classification of semisimple groups. The second chapter introduces more specialized topics in the subgroup structure of semisimple groups and describes the classification of the maximal subgroups of the simple algebraic groups. The authors then systematically develop the subgroup structure of finite groups of Lie type as a consequence of the structural results on algebraic groups. This approach will help students to understand the relationship between these two classes of groups. The book covers many topics that are central to the subject, but missing from existing textbooks. The authors provide numerous instructive exercises and examples for those who are learning the subject as well as more advanced topics for research students working in related areas.
9780511994777 (ebook)
Linear algebraic groups
Lie algebras
QA179 / .M35 2011
512.482
Linear Algebraic Groups and Finite Groups of Lie Type / Linear Algebraic Groups & Finite Groups of Lie Type Gunter Malle, Donna Testerman. - 1 online resource (324 pages) : digital, PDF file(s). - Cambridge Studies in Advanced Mathematics ; 133 . - Cambridge Studies in Advanced Mathematics ; 133. .
Title from publisher's bibliographic system (viewed on 04 Apr 2016).
Originating from a summer school taught by the authors, this concise treatment includes many of the main results in the area. An introductory chapter describes the fundamental results on linear algebraic groups, culminating in the classification of semisimple groups. The second chapter introduces more specialized topics in the subgroup structure of semisimple groups and describes the classification of the maximal subgroups of the simple algebraic groups. The authors then systematically develop the subgroup structure of finite groups of Lie type as a consequence of the structural results on algebraic groups. This approach will help students to understand the relationship between these two classes of groups. The book covers many topics that are central to the subject, but missing from existing textbooks. The authors provide numerous instructive exercises and examples for those who are learning the subject as well as more advanced topics for research students working in related areas.
9780511994777 (ebook)
Linear algebraic groups
Lie algebras
QA179 / .M35 2011
512.482